Séminaire Lotharingien de Combinatoire, B73e (2016), 54 pp.

Dominique Foata and Guo-Niu Han

André Permutation Calculus: a Twin Seidel Matrix Sequence

Abstract. Entringer numbers occur in the André permutation combinatorial set-up under several forms. This leads to the construction of a matrix refinement of the tangent (respectively secant) numbers. Furthermore, closed expressions for the three-variate exponential generating functions for pairs of so-called Entringerian statistics are derived.

Received: January 15, 2016. Accepted: February 11, 2016.

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